Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

pilot implementation of the matatag k to 10 curriculum b. find the volu…

Question

pilot implementation of the matatag k to 10 curriculum
b. find the volume of the following figures.
1.
2.
3.

Explanation:

Step1: Identify base shape (square)

Base area $A_1 = 9^2 = 81$ $\text{cm}^2$

Step2: Apply pyramid volume formula

$V_1 = \frac{1}{3}A_1h = \frac{1}{3} \times 81 \times 15$

Step3: Calculate volume for figure 1

$V_1 = 405$ $\text{cm}^3$

Step1: Identify base shape (rectangle)

Base area $A_2 = 7 \times 15 = 105$ $\text{m}^2$

Step2: Apply pyramid volume formula

$V_2 = \frac{1}{3}A_2h = \frac{1}{3} \times 105 \times 12$

Step3: Calculate volume for figure 2

$V_2 = 420$ $\text{m}^3$

Step1: Identify base shape (rectangle)

Base area $A_3 = 13 \times 7 = 91$ $\text{ft}^2$

Step2: Apply pyramid volume formula

$V_3 = \frac{1}{3}A_3h = \frac{1}{3} \times 91 \times 18$

Step3: Calculate volume for figure 3

$V_3 = 546$ $\text{ft}^3$

Answer:

  1. $405$ $\text{cm}^3$
  2. $420$ $\text{m}^3$
  3. $546$ $\text{ft}^3$